Students reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths.

Students use divide by 10 patterns for multi-digit whole number division.

Students reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths.

Students multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.

Students multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used.

Students’ understanding of the patterns in the base ten system are extended.

Students apply patterns of the base ten system to mental strategies.